Title

Competitive Modes For The Baier-Sahle Hyperchaotic Flow In Arbitrary Dimensions

Keywords

Baier-Sahle hyperchaotic flow; Competitive modes; Hyperchaotic system; Nonlinear dynamics

Abstract

The method of competitive modes has been applied in the literature in order to determine if a given dynamical system exhibits chaos, and can be viewed as providing a sort of necessary condition for the occurrence of chaos. In this way, the method has been used as a diagnostic tool in order to determine parameter regimes for which a certain nonlinear system could exhibit chaos. Presently, we apply the method in order to study the N-dimensional Baier-Sahle hyperchaotic flow. This model is a natural choice, since it is a prototypical model of hyperchaos, yet it is simple enough to be analytically tractable. For the N-dimensional model, we show the existence of up to N-1 competitive modes in the presence of hyperchaos. Interestingly, only two of the mode frequencies are time-variable. So, the Baier-Sahle hyperchaotic flow is an example of a fairly simple high-dimensional hyperchaotic model, which lends itself nicely to a competitive modes analysis. Explicit numerical results are provided for the N=4 and N=5 cases in order to better illustrate our results. © 2013 Springer Science+Business Media Dordrecht.

Publication Date

1-1-2013

Publication Title

Nonlinear Dynamics

Volume

74

Issue

3

Number of Pages

581-590

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s11071-013-0990-9

Socpus ID

84886291830 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84886291830

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